事件触发脉冲控制多智能体系统的安全一致

对多智能体系统在欺骗攻击下的均方有界一致性问题进行研究,并在固定时间脉冲控制的基础上结合事件触发控制,设计了一种具有触发时间上界的事件触发脉冲控制方法。利用李雅普诺夫稳定性理论、图论和线性矩阵不等式技巧,得到了多智能体系统的均方有界一致的充分条件,并验证了所提出的事件触发脉冲控制方法可以自动调节脉冲时间间隔,快速达到安全一致。最后,数值仿真结果进一步验证了理论研究结果的有效性。     

一类随机非线性系统的有限时间H∞控制

本文研究一类随机非线性系统的有限时间H_∞控制问题.考虑闭环系统在有限时间间隔内的瞬态性能和抗干扰能力,对伊藤型随机非线性系统进行了研究.利用Lyapunov函数和线性矩阵不等式(LMI)得到了系统满足均方有限时间有界的充分条件,进一步设计了有限时间H_∞控制器,并给出了系统满足均方有限时间有界和相应H_∞性能的充分条件.最后给出了两个例子验证了该方法的有效性和可行性.     

切换拓扑下多自主体系统的事件触发一致性控制

本文针对一阶非线性多自主体系统,考察了切换拓扑下的事件触发一致性控制问题.当切换拓扑子图的并图包含有向生成树时,基于一阶保持器提出了一种分布式事件触发一致性算法,用以降低网络的通信负载.运用迭代法和不等式法,得到了多自主体系统达到有界一致性的充分条件.此外,证明了所提事件触发机制不存在Zeno现象,并得到了触发间隔的正下界.最后,给出仿真实例,验证了所提事件触发一致性算法和理论分析结果的有效性.     

离散随机Markov跳跃系统有限时间有界控制

研究一类带乘性噪声的离散时间随机Markov跳跃系统的有限时间控制问题.首先,定义系统的有限时间稳定和有限时间有界,通过逐次迭代和条件期望给出系统有限时间稳定的充分必要条件;其次,针对含干扰的系统,利用Lyapunov方法和线性矩阵不等式技术得到系统有限时间有界的充分条件并设计状态反馈镇定控制器;然后,进一步考虑转移概率信息不完全下的有限时间有界问题;最后,通过数值例子验证了所提出方法的有效性.     

离散线性切换系统的一致有限时间稳定分析和反馈控制及其在网络控制系统中的应用

研究了一类离散线性切换系统的一致有限时间稳定性分析和反馈镇定．基于线性矩阵不等式技术,给出了在任意切换信号作用下,离散线性切换系统有限时间稳定和有限时间有界的充分条件,并给出了离散线性切换控制系统一致有限时间状态反馈控制器的设计方法．将上述分析结果应用于一类丢包有界的网络控制系统,得到了保证其有限时间稳定的反馈控制器．最后,通过两个数值仿真例子验证了所提方法的有效性．     

分数阶时变切换系统有限时间异步控制

针对一类时变切换系统,当考虑子系统具有分数阶(Fractional Order)特性时,提出了一种基于模型依赖平均驻留时间方法的有限时间稳定性条件及异步切换控制策略.借助Caputo分数阶导数引理和切换Lyapunov函数,利用矩阵不等式技术提出了分数阶时变切换系统有限时间稳定的充分条件.将有限时间稳定的结果进一步推广到有限时间有界的情形,利用平均驻留时间思想提出了分数阶时变切换系统有限时间有界的充分条件,基于该条件设计了系统的异步切换控制器.所给出的设计方法将系统异步切换控制问题转化为矩阵不等式组的求解问题.通过数值仿真验证了所提控制方法的有效性.     

网络化控制系统改进事件触发机制与L∞控制协同设计研究

文章研究了网络诱导延时和外部干扰约束下,网络化控制系统的改进事件触发机制与 控制协同设计策略。为了克服相对(绝对)事件触发机制在系统接近(远离)平衡点运行时数据发送率较高的局限,文章提出了综合利用状态相关信息和状态无关信息的改进事件触发机制,其能够在系统整体运行期间获得较低数据发送率。然后,建立了同时刻画事件触发机制和网络诱导延时影响的闭环时滞系统模型,得到了系统最终有界稳定的充分条件,给出了事件触发机制与控制器的协同设计方法,比要求控制器预先给定的两步设计方法更方便。最后,仿真验证了所提方法的有效性。     

执行器攻击下神经网络事件触发滑模同步控制

针对多神经网络系统在执行器攻击和外部随机干扰下的同步控制问题,对事件触发滑模控制方法进行研究。首先,设计了2种新的积分滑模函数,保证多神经网络系统在整个同步过程中的全局鲁棒性;其次,在事件触发机制的基础上,针对系统存在有界扰动和执行器攻击的问题,设计了分布式事件触发积分滑模控制器,在抑制干扰和攻击的同时实现了多神经网络的同步控制,并且节约了通信资源;再次,基于李雅普诺夫稳定性理论,给出了多神经网络同步的充分条件,并通过推导得出最小触发时间间隔为大于0的正数,即保证系统不会存在奇诺(Zeno)行为;最后,仿真结果验证了所提控制方法的有效性。     

一种基于有限时间稳定的环绕控制器设计

针对单无人机对单目标的环航跟踪问题,设计了一个能保证无人机在速度有界条件下,飞行轨迹快速收敛到期望航迹的控制器.1）根据无人机运动特性,设计了一个考虑目标运动状态的控制方案,并利用Lyapunov稳定性定理给出了系统渐近稳定的充分条件.2）结合饱和控制和有限时间控制,得到使无人机相对目标距离在有限时间内收敛到期望值的充分条件.3）用数值算例比较验证了所提控制器的有效性.     

离散化不确定马尔可夫跳变系统的事件触发保性能控制

针对一类离散化不确定马尔可夫跳变系统,研究了基于事件触发机制的保性能控制问题.首先假设不确定的参数是有界的,与传统的周期触发方式的区别是,事件触发机制可以判断采样信号是否需要传输.其次,利用时间间隔分析法,把事件触发机制和网络时延构造成一个时滞系统,根据时滞分析法,提出了事件触发条件和保性能控制器的协同设计方案.最后,用一个仿真例子验证此算法的有效性.     

Finite-time event-triggered control for a class of cascade switched affine nonlinear systems

This paper is concerned with the finite-time boundedness (FTB) problem of a class of cascade switched affine nonlinear systems. In order to avoid unnecessary waste of network communication and Zeno behavior, a dynamical event-triggered scheme is proposed, which is more general than some existing event-triggered schemes with a common parameter matrix. By using the average dwell time method and multiple Lyapunov function technologies, sufficient conditions for the existence of controller gains are first proposed such that the closed-loop system is finite-time bounded with a finite-time disturbance attenuation performance. It is also proved that the Zeno phenomenon is excluded. Finally, a numerical example is given to illustrate the feasibility and effectiveness of the proposed method.     

Finite-time boundedness and stabilisation of networked control systems with bounded packet dropout

In this paper, the finite-time boundedness and stabilisation problems of a class of networked control systems (NCSs) with bounded packet dropout are investigated. The main results provided in the paper are sufficient conditions for finite-time boundedness and stability via state feedback. An iterative approach is proposed to model NCSs with bounded packet dropout as jump linear systems (JLSs). Based on Lyapunov stability theory and JLSs theory, the sufficient conditions for finite-time boundedness and stabilisation of the underlying systems are derived via linear matrix inequalities (LMIs) formulation. Moreover, both sensor-to-controller and controller-to-actuator packet dropouts are considered simultaneously. Lastly, an illustrative example is given to demonstrate the effectiveness of the proposed results.     

Finite-time control of linear parameter-varying systems with norm-bounded exogenous disturbance

In this paper, a new approach is presented for finite-time control problems for linear systems subject to time-varying parametric uncertainties and exogenous disturbance. The disturbance is assumed to be time varying and bounded. Sufficient conditions are obtained for the existence of a linear parameter-dependent state feedback gain, which can ensure that the closed-loop system is finite-time bounded (FTB). The conditions can be reduced to feasibility problems involving LMIs. Numerical examples show the validity of the proposed methodology.     

Finite-time control of linear parameter-varying systems with norm-bounded exogenous disturbance

In this paper, a new approach is presented for finite-time control problems for linear systems subject to time-varying parametric uncertainties and exogenous disturbance. The disturbance is assumed to be time varying and bounded. Sufficient conditions are obtained for the existence of a linear parameter-dependent state feedback gain, which can ensure that the closed-loop system is finite-time bounded （FTB）. The conditions can be reduced to feasibility problems involving LMIs. Numerical examples show the validity of the proposed methodology.     

Finite-time event-triggered extended dissipative control for discrete time switched linear systems

This paper considers the problem of finite-time event-triggered extended dissipative control for a class of discrete time switched linear systems. The proposed system is modeled as a discrete time switched linear system with an event-triggered control scheme. Under the event-triggered transmission schemes, we give some sufficient conditions to guarantee the finite-time extended dissipative performance of the closed-loop switched system in terms of linear matrix inequalities. Furthermore, the state feedback controller gains are proposed by solving a set of linear matrix inequalities. Finally, a numerical example is given to show the effectiveness of the proposed methods.     

Finite-time non-fragile filtering for nonlinear networked control systems via a mixed time/event-triggered transmission mechanism

This paper is aimed at investigating the problem of mixed time/event-triggered finite-time non-fragile filtering for nonlinear networked control systems with delay. First, a fuzzy nonlinear networked control system model is established by interval type-2 (IT2) Takagi-Sugeno (T-S) fuzzy model, the designed non-fragile filter resolves the filter parameter uncertainties and uses different membership functions from the IT2 T-S fuzzy model. Second, a novel mixed time/event-triggered transmission mechanism is proposed, which decreases the waste of network resources. Next, Bernoulli random variables are used to describe the cases of random switching mixed time/event-triggered transmission mechanism. Then, the error filtering system is designed by considering a Lyapunov function and a sufficient condition of finite-time boundedness. In addition, the existence conditions for the finite-time non-fragile filter are given by the linear matrix inequalities (LMIs). Finally, two simulation results are presented to prove the effectiveness of the obtained method.     

时变时滞连续切换奇异系统的一致有限时间稳定分析

讨论一类含有时变时滞的连续时间切换奇异系统的一致有限时间稳定、有限时间有界和状态反馈镇定问题. 在给定任意的切换规则下, 运用多Lyapunov 函数和平均驻留时间方法设计使得闭环系统一致有限时间稳定和有限时间有界的状态反馈控制器, 同时给出基于线性矩阵不等式表示的控制器存在的充分条件. 最后通过数值算例表明了所提出方法的合理性和有效性.

     

Decentralised H∞ finite-time control equation of large-scale switched systems using robust performance minimisation

Many actual engineering applications can be modelled as large-scale switched system, while switching behaviours often occur in some short finite time intervals; thus, it is significant to ensure the finite-time boundedness of large-scale switched system in practical terms. In this paper, the problems of finite-time stability analysis and stabilisation for large-scale switched system are addressed. First, considering different switching signals for subsystems, the concepts of decentralised finite-time boundedness (DFTB) and decentralised finite-time H_∞ controllers are introduced, which focus on the dynamical transient behaviour of large-scale switched system during finite intervals. Under these concepts, several sufficient conditions are given to ensure a class of large-scale systems decentralised finite-time stable based on the decentralised average dwell times, and then the results are extended to H_∞ finite-time boundedness of large-scale switched system. Finally, based on the results on DFTB, optimal decentralised H_∞ controllers and average dwell times are designed under the minimum value of H_∞ performance. Numerical examples are given to illustrate the effectiveness of the proposed approaches in this paper.     

Robust finite-time boundedness of multi-agent systems subject to parametric uncertainties and disturbances

In this paper, we consider finite-time control problems for linear multi-agent systems subject to exogenous constant disturbances and impulses. Some sufficient conditions are obtained to ensure the finite-time boundedness of the multi-agent systems, which could be then reduced to a feasibility problem involving linear matrix inequalities. Numerical examples are given to illustrate the results.     

Input–output finite-time stability of discrete-time systems under finite-time boundedness

This paper deals with the input–output finite-time stability of discrete time-varying linear systems in the presence of finite-time boundedness. The state boundedness and output stability of this system are concerned simultaneously to avoid the large unacceptable values during certain transients. For two different classes of norm-bounded input signals, the sufficient conditions for the system satisfying both the state finite-time boundedness (FTB) and input–output finite-time stability (IO-FTS) are developed. Based on a set of linear matrix inequalities (LMIs), the controller design method via state feedback for the discrete-time system satisfying both FTB and IO-FTS is presented for the two classes of external norm-bounded input. The conditions proposed can simultaneously guarantee the state and output of closed-loop system do not exceed the boundary during the specified finite-time interval. Two examples are employed to verify the effectiveness of the proposed method.